Lesson 15 The Nearest Multiples of 1,000, 10,000, and 100,000

    • Let’s find multiples of 1 thousand, 10 thousand, and 100 thousand that are the nearest to a number.

Warm-up Estimation Exploration: What Could It Be?

What number could this point represent?

number line. First tick mark, 0. Last tick mark, 1 thousand. Unlabeled point around about 6 to 7 hundred.

Record an estimate that is:

too low

about right

too high

Activity 1 Closer to This or That?

Problem 1

Answer each question. Use the number lines if they are helpful.

  1. Answer each question. Use the number lines if they are helpful.

    Is 16 closer to 10 or to 20?

    number line. Scale, 10 to 20, by 1's. 

  2. Is 816 closer to 800 or to 900?

    number line. Scale 8 hundred to 9 hundred, by tens.

  3. Is 3,816 closer to 3,000 or 4,000?

    number line. Scale 3 thousand to 4 thousand, by hundreds. 

  4. Is 73,816 closer to 70,000 or 80,000?

    number line. Scale, 70 thousand to 80 thousand, by 1 thousands.

  5. Is 573,816 closer to 500,000 or 600,000?

    number line. Scale, 5 hundred thousand to 6 hundred thousand, by 10 thousands.

Problem 2

For 816:

  • The nearest multiple of 1,000 is 1,000.

  • The nearest multiple of 100 is 800.

  • The nearest multiple of 10 is 820.

Complete the table with the nearest multiple of 10, 100, 1,000, 10,000, and 100,000 for each number.

nearest multiple of  …

10

100

1,000

10,000

100,000

16

--

--

--

--

816

--

--

3,816

--

--

73,816

573,816

Activity 2 Closer to Which Number?

Problem 1

Answer each question. Label and use the number lines if they are helpful.

  1. Is 425,193 closer to 400,000 or 500,000?

    number line. 11 evenly spaced tick marks. First tick mark, blank box. Last tick mark, blank box.

  2. Is 425,193 closer to 420,000 or 430,000?

    number line. 11 evenly spaced tick marks. First tick mark, blank box. Last tick mark, blank box.

  3. Is 425,193 closer to 425,000 or 426,000?

    number line. 11 evenly spaced tick marks. First tick mark, blank box. Last tick mark, blank box.

  4. Is 425,193 closer to 425,100 or to 425,200?

    number line. 11 evenly spaced tick marks. First tick mark, blank box. Last tick mark, blank box.

  5. Is 425,193 closer to 425,190 or to 425,200?

    number line. 11 evenly spaced tick marks. First tick mark, blank box. Last tick mark, blank box.

Problem 2

For the number 425,193:

  1. The nearest multiple of 100,000 is .

  2. The nearest multiple of 10,000 is .

  3. The nearest multiple of 1,000 is .

  4. The nearest multiple of 100 is .

  5. The nearest multiple of 10 is .

Activity 3 What’s the Nearest Multiple?

Problem 1

For the number 136,850, Han can name the nearest multiple of 100,000, 10,000, and 1,000.
He is stuck when trying to name the nearest multiple of 100.

  1. In the table, write the nearest multiples that Han knows for each place value. Use number lines if they are helpful.

    nearest multiple of …

    100,000

    10,000

    1,000

    136,850

  2. Why might it be tricky to name the nearest multiple of 100 for 136,850? What do you think it is?

Problem 2

Name the nearest multiples of 100,000, 10,000, 1,000, and 100 for each number.

nearest multiple of  …

100,000

10,000

1,000

100

191,530

70,500

Practice Problem

Problem 1

For the number 583,642:

  1. What is the nearest multiple of 100,000?

  2. What is the nearest multiple of 10,000?

  3. What is the nearest multiple of 1,000?

  4. What is the nearest multiple of 100?

  5. What is the nearest multiple of 10?